Mon 03 July 06Laserwire Mini-Workshop1 Using Laserwires to Measure Emittance at the ILC Leo Jenner, Daresbury Labs.

Mon 03 July 06 Laserwire Mini-Workshop 1

Using Laserwires to Measure Emittance at the ILC

Leo Jenner, Daresbury Labs

Mon 03 July 06 Laserwire Mini-Workshop 2

Outline…

• Use laserwires in Beam Delivery System, specifically to measure

emittance for skew correction

• ILC Beam Delivery System, RDR Layout, 2006b Release

( Mark Woodley, SLAC )

• Linac simulations for realistic coupling ( Daniel Schulte )

• Errors on Laserwire measurements

• X,Y, Roll error / correction

Mon 03 July 06 Laserwire Mini-Workshop 3

Mon 03 July 06 Laserwire Mini-Workshop 4

Phase Advance

4 Orthogonal Skew Quads

Mon 03 July 06 Laserwire Mini-Workshop 5

Relative Error on Parameter

PessimisticEstimate

OptimisticEstimate

β function at the LW 3% 1%

LW readout error 2% 1%

Laser spot waist 10% 10%

Laser Pointing Jitter 15μm, 10% 0.5μm, 10%

Beam Jitter 1.0 σe, 10% 0.5 σe, 10%

Residual Dispersion 2.5mm, 10% 0.5mm, 20%

Beam Energy Spread 1.5x10-3, 20% 1.5x10-3, 1%

Total Error >100% 23.8%

Machine Alignment Errors still to come!

The Optimistic case requires the limits on these ‘planned’ errors to really be pushed…

G. Blair, RHUL

Mon 03 July 06 Laserwire Mini-Workshop 6

0 2 4 6 8 100

50

100

150

200

250

300

350

400

Input Emittance: YN

(6.000)x[10-8 m]

5% measurement error gives: 5.957 0.523 [10-8 m]N

1 2 3 4 5 6 7 8 9 100

50

100

150

200

250

300

350

400

Input Emittance: YN

(6.000) [10-8 m]

20% measurement error gives: 5.219 2.699 [10-8 m]

N

0 5 10 15 20 25 30 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

Measurement Error (%)

E

mitt

ance

/ E

mitt

ance

(re

cons

truc

ted)

Mon 03 July 06 Laserwire Mini-Workshop 7

-0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 -4 -3 -2 -1 0 1 2 3 4 5 x 10 5

skew quad strength

emitt

ance

mea

sure

d at

lase

rwire

s

Y = A*(X-B) 2 +C A = 1.4447e+006+-7.31e+004

B = 0.002686+-0.000344 C = 16.6+- 5.77 RMS = 82207

N DOF = 27

2 /N DOF = 1.393

-1 0 1 2 3 4 5 6 7 8 9 0.5

1

1.5

2

2.5

3

3.5

4

4.5

Skew Quadrupole Scan Number

Mea

sure

d E

2 /

Ey

Iterative Skew Correction Procedure

-0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2-2

0

2

4

6

8

10

12

14

16x 10

5 0+66.335i

skew quad strength

emitt

ance

Y = A*(X-B)2+CA = 9.8015e+006+-2.45e+006B = 1.4538e-005+-0.000639

C = -4400.3+-1.24e+003RMS = 2.0858e+005

NDOF

= 72/N

DOF = 17.792

-1 0 1 2 3 4 5 6 7 8 90.5

1

1.5

2

2.5

3

3.5

4

4.5

5

5.5

Mon 03 July 06 Laserwire Mini-Workshop 8

• X, Y, roll errors in quads

• Position errors corrected to ~1micron with BPMs

• Additional dispersion caused adds 1% error up to 20 microns

• Roll of up to 3 degrees adds 1% error

Mon 03 July 06 Laserwire Mini-Workshop 9

Conclusions…

• paper and poster presented

• skew correction and emittance diagnostic section design in place

• laserwire measurement errors are large

• emittance: more measurement points but more time

• Increasing beta-function at laserwires might be easiest way to

improve the situation

• Reasonable x, y, roll errors don’t seem to effect emittance

measurement too much

Mon 03 July 06 Laserwire Mini-Workshop 10